TR-MO-R1 2014 Problem 26

$n^4+1$ sayısını bölen en küçük asal sayı $f(n)$ olmak üzere, $f(1)+f(2)+\cdots+f(2014)$ toplamının 8 ile bölümünden kalan kaçtır?

a) $1$ b) $3$ c) $5$ d) $7$ e) Hiçbiri

Official text Turkish Mathematical Olympiad, first round 2014 official paper, page 8. Quoted with source.

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